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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4550
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dc.contributor.authorBorde, A.-
dc.contributor.authorDowker, H.F.-
dc.contributor.authorGarcia, R.S.-
dc.contributor.authorSorkin, Rafael D.-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2012-05-29T10:36:08Z-
dc.date.available2012-05-29T10:36:08Z-
dc.date.issued1999-11-
dc.identifier.citationClassical and Quantum Gravity, 1999, Vol.16, Issue 11, p 3457-3481en
dc.identifier.issn0264-9381-
dc.identifier.issn1361-6382-
dc.identifier.urihttp://hdl.handle.net/2289/4550-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractA change of spatial topology in a causal, compact spacetime cannot occur when the metric is globally Lorentzian. On any cobordism manifold, however, one can construct from a Morse function f and an auxiliary Riemannian metric hµicons/Journals/Common/nu" ALT="nu" ALIGN="TOP"/> a causal metric gµicons/Journals/Common/nu" ALT="nu" ALIGN="TOP"/> which is Lorentzian almost everywhere except that it degenerates to zero at each critical point of f. We investigate causal structure in the neighbourhood of such a degeneracy, when the auxiliary Riemannian metric is taken to be Cartesian flat in appropriate coordinates. For these geometries, we verify the conjecture that causal discontinuity occurs if and only if the Morse index is 1 or n - 1.en
dc.language.isoenen
dc.publisherInstitute of Physicsen
dc.relation.urihttp://arxiv.org/abs/gr-qc/9901063en
dc.relation.urihttp://dx.doi.org/ 10.1088/0264-9381/16/11/303en
dc.relation.urihttp://adsabs.harvard.edu/abs/1999CQGra..16.3457Ben
dc.rights1999, Institute of Physicsen
dc.titleCausal continuity in degenerate spacetimesen
dc.typeArticleen
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